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Chapter 10 of 15
Syllabus

Surface areas and Volumes

Kerala Board · Class 9 · Mathematics

Complete topic list for Surface areas and Volumes in Kerala Board Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions20 flashcards5 concepts
4 Topics · Kerala Board Class 9 Mathematics

Topics in Surface areas and Volumes

1

Cuboids and Cubes

  • A cuboid has 6 rectangular faces, 12 edges, and 8 vertices
  • A cube is a special cuboid where all edges are equal
  • Total surface area includes all 6 faces
2

Right Circular Cylinders

  • A cylinder has 2 circular bases and 1 curved surface
  • Right circular cylinder has axis perpendicular to base
  • Curved surface can be opened into a rectangle
3

Right Circular Cones

  • A cone has 1 circular base and 1 curved surface meeting at vertex
  • Slant height is distance from vertex to any point on base circumference
  • Relationship: l² = h² + r² (Pythagoras theorem)
4

Spheres and Hemispheres

  • Sphere is perfectly round 3D object with all points equidistant from center
  • Hemisphere is half of a sphere cut by plane through center
  • Sphere has only curved surface, no edges or vertices

Key Concepts

For a cuboid with length lFor a cube with edge lengthFor a cylinder with radius rFor a cone with radius rFor a sphere with radius r

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Frequently Asked Questions

What are the important topics in Surface areas and Volumes for Kerala Board Class 9 Mathematics?

Surface areas and Volumes covers several key topics that are frequently asked in Kerala Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.

Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.